Q: What are the factor combinations of the number 717,471,205?

 A:
Positive:   1 x 7174712055 x 14349424111 x 6522465555 x 13044931401 x 17892052005 x 3578414411 x 16265522055 x 32531
Negative: -1 x -717471205-5 x -143494241-11 x -65224655-55 x -13044931-401 x -1789205-2005 x -357841-4411 x -162655-22055 x -32531


How do I find the factor combinations of the number 717,471,205?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 717,471,205, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 717,471,205
-1 -717,471,205

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 717,471,205.

Example:
1 x 717,471,205 = 717,471,205
and
-1 x -717,471,205 = 717,471,205
Notice both answers equal 717,471,205

With that explanation out of the way, let's continue. Next, we take the number 717,471,205 and divide it by 2:

717,471,205 ÷ 2 = 358,735,602.5

If the quotient is a whole number, then 2 and 358,735,602.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 717,471,205
-1 -717,471,205

Now, we try dividing 717,471,205 by 3:

717,471,205 ÷ 3 = 239,157,068.3333

If the quotient is a whole number, then 3 and 239,157,068.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 717,471,205
-1 -717,471,205

Let's try dividing by 4:

717,471,205 ÷ 4 = 179,367,801.25

If the quotient is a whole number, then 4 and 179,367,801.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 717,471,205
-1 717,471,205
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

1511554012,0054,41122,05532,531162,655357,8411,789,20513,044,93165,224,655143,494,241717,471,205
-1-5-11-55-401-2,005-4,411-22,055-32,531-162,655-357,841-1,789,205-13,044,931-65,224,655-143,494,241-717,471,205

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